Solve 17x+x-9/6-x+3/3=x-1

$$17 x + \frac { x - 9 } { 6 } - \frac { x + 3 } { 3 } = x - 1$$

Solve for x

$$x=\frac{9}{95}\approx 0.094736842$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 6,3.

$$102x+x-9-2\left(x+3\right)=6x-6$$

Combine 102x and x to get 103x.

$$103x-9-2\left(x+3\right)=6x-6$$

Use the distributive property to multiply -2 by x+3.

$$103x-9-2x-6=6x-6$$

Combine 103x and -2x to get 101x.

$$101x-9-6=6x-6$$

Subtract 6 from -9 to get -15.

$$101x-15=6x-6$$

Subtract 6x from both sides.

$$101x-15-6x=-6$$

Combine 101x and -6x to get 95x.

$$95x-15=-6$$

Add 15 to both sides.

$$95x=-6+15$$

Add -6 and 15 to get 9.

$$95x=9$$

Divide both sides by 95.

$$x=\frac{9}{95}$$